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Condition for Two Given Numbers to Be Roots
## Formula
If $$p$$ and $$q$$ are roots of:
$$ax^2+bx+c=0$$
then:
$$p+q=-\frac ba$$
and:
$$pq=\frac ca$$
Therefore:
$$b=-a(p+q)$$
$$c=apq$$
## Usage
- Used to determine unknown coefficients when both roots are specified.
